Can I use the lightning port on this device to connect another adapter? I want to use this for HDMI and also add a lightning to MIDI adapter.

I am using my iPad to display lyrics, but want to mirror it using this adapter onto a screen. I also want my iPad to receive MIDI so I want to add that adapter. So I'm hoping I can use this adapter to not only output HDMI, but also allow use of another adapter to input a MIDI signal.